What is color theory? Learn how modern geometry has confirmed physicist Erwin Schrödinger’s 100-year-old color theory, ...

A century after Erwin Schrödinger sketched out a bold vision for how we perceive color, scientists have finally filled in the missing pieces. A Los Alamos team used advanced geometry to show that hue, ...

Algebraic geometry is a field that investigates the solutions of systems of polynomial equations and the geometric structures they define. At its core lies the study of algebraic varieties, whose ...

A new study published in Nature Physics introduces a theory of electron-phonon coupling that is affected by the quantum geometry of the electronic wavefunctions. The movement of electrons in a lattice ...

One of the first collaborations Xinyi Yuan and Wei Zhang ever undertook was a trip to the Social Security office. It was the fall of 2004 and the two of them were promising young graduate students in ...

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future. In May, a ...

The spectrum of the canonical operator in the noncommutative 2-torus Tθ depending on the parameter θ ∈ [0,1] © Douglas Hofstadter's butterfly. Licensed under ...

A new theory proposes that the universe’s fundamental forces and particle properties may arise from the geometry of hidden extra dimensions. These dimensions could twist and evolve over time, forming ...

2025 Best Algebra / Number Theory / Algebraic Geometry Programs Ranked in 2023, part of Best Science Schools Graduate students in algebra, number theory and algebraic geometry courses build upon ...